# 8/15 as a Decimal

8/15 as a decimal expansion provides the detailed information about what is 8/15 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

8/15 as a Decimal Expansion
8/15 = 0.5333
Hence,
8/15 as a decimal equals to 0.5333
where,
8/15 is a given fraction,
The decimal expansion of 8/15 is 0.5333

8/15 as a Mixed Number
The given fraction 8/15 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 15.

For values other than 8/15, use this below tool:

## How-to: 8/15 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 8/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/15

What to be found:
Find the decimal expansion of fraction 8/15.

step 2 The numerator is smaller than the denominator of the fraction 8/15, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 8/15.
= 8/15 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 8/15 x 1/100
= 800/15 x 1/100

step 4 Simplify the above expression further:
= 800/15 x 1/100
= 795 + 5/15 x 1/100
= ( 795/15 + 5/15) x 1/100
= (53 + 5/15 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 5/15 in the above expression:
= (53 + 5/15 ) x 1/100
= (53 + 0.333) x 1/100

step 6 Simplify the above expression further:
= (53 + 0.333) x 1/100
= 53.333 x 1/100
= 53.333/100
8/15= 0.53333

Hence,
8/15 as a decimal is 0.53333